Pith Number

pith:DAWVUEH7

pith:2011:DAWVUEH7S4XYA67RHJZZX5GAX2

not attested not anchored not stored refs pending

Alexandrov spaces with maximal number of extremal points

Nina Lebedeva

arxiv:1111.7253 v3 · 2011-11-30 · math.MG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAWVUEH7S4XYA67RHJZZX5GAX2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:59:39.186032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182d5a10ff972f807bf13a739bf4c0be914cc7ec8980d258ce5a5dbc95dc82d2

Aliases

arxiv: 1111.7253 · arxiv_version: 1111.7253v3 · doi: 10.48550/arxiv.1111.7253 · pith_short_12: DAWVUEH7S4XY · pith_short_16: DAWVUEH7S4XYA67R · pith_short_8: DAWVUEH7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DAWVUEH7S4XYA67RHJZZX5GAX2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 182d5a10ff972f807bf13a739bf4c0be914cc7ec8980d258ce5a5dbc95dc82d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f3b41847033b44987cb346fbcd83f4263a3223ce0bb9755dd03c97ca1dbfc3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-30T17:57:04Z",
    "title_canon_sha256": "bc3d562d34a7f054b7319a6710ff350dfe85912fa3803b3191e9b1a46e502b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7253",
    "kind": "arxiv",
    "version": 3
  }
}